NicholsPlot

NicholsPlot[lsys]

generates a Nichols plot of the transfer function for the system lsys.

NicholsPlot[lsys,{ωmin,ωmax}]

plots for the frequency range ωmin to ωmax.

NicholsPlot[expr,{ω,ωmin,ωmax}]

plots expr using the variable ω.

Details and Options

Examples

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Basic Examples  (4)

Nichols plot of a transfer-function model:

Specify the frequency range:

Nichols plot of a discrete-time system:

Use legends for multiple systems:

Scope  (8)

The Nichols plot of a continuous-time system:

The Nichols plot of a discrete-time system:

The system can also be specified as an expression:

A discrete-time system with sampling period 1, specified as an expression:

A system with a time delay:

Specify the frequency range:

The Nichols plot of a state-space model:

A system specified as a sinusoidal transfer function:

Generalizations & Extensions  (1)

NicholsPlot[TransferFunctionModel[g,var]] is equivalent to NicholsPlot[g]:

Options  (29)

AspectRatio  (1)

Specify the aspect ratio:

AxesLabel  (1)

Specify axes labels:

ColorFunction  (3)

Color the curve by scaled frequency values:

Use a named color gradient:

Use red when the sensitivity function is less than 1, and black otherwise:

ColorFunctionScaling  (1)

Scale the frequency to be between 0 and 1:

ColorFunctionScaling->False uses absolute values:

Specify the scaling manually:

CoordinatesToolOptions  (1)

Display the tooltip coordinates in radians and absolute magnitude:

Exclusions  (1)

By default the singular frequencies are excluded:

Mesh  (4)

Show equally spaced frequency locations:

Show the coordinates at 1 radian per time unit:

Show the coordinates at several frequencies:

Specify the graphics directives:

MeshFunctions  (1)

By default the mesh is located at evenly spaced frequencies:

Specify a mesh with evenly spaced log-10 frequency values:

MeshStyle  (1)

Specify the mesh style:

NicholsGridLines  (2)

Use automatically chosen values of closed-loop magnitude and phase:

Draw specific contours:

PhaseRange  (1)

The phase is typically plotted as a continuous function:

Specify a phase range:

PlotLegends  (4)

Use automatic legends for multiple systems:

Use named legends:

Use LineLegend to add the label for overall legend:

Place the legend above the plot:

PlotPoints  (1)

Use more initial points to get a smoother curve:

PlotTheme  (2)

Use a theme with a frame and grid lines:

Change the style of the grid lines:

ScalingFunctions  (1)

Show the phase in radians:

Show absolute values of magnitude:

StabilityMargins  (3)

Show stability margins:

Show only the gain margin:

Only margins and crossover frequencies with numerical values are shown:

StabilityMarginsStyle  (1)

Specify stability margins style:

Introduced in 2010
 (8.0)
 |
Updated in 2012
 (9.0)
2014
 (10.0)